Sharpe ratio=(return-risk free rate)/standard deviation
Sharpe ratio of the lawn mowing business=(30%-2%)/40%=0.7
Sharpe ratio of the market index=(15%-2%)/20%=0.65
Lawn mowing business is better as it has higher Sharpe ratio
5. You have the savings of $100K and no other wealth. You are considering whether to...
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You manage an index fund that is an exact replica of the market index. The market expected annual rate of return is 19.5% with a standard deviation of 16.5%. Annual T-bill rate is 4.5% 2. a. A client of yours wants you to invest 80% of his portfolio in your fund and 20 % in T-bill money market fund. What is the expected return and standard deviation of this client's portfolio? b. What...
Suppose Yachi Industries has a beta of 1.2. The expected return on a market portfolio is 10%, and risk free rate is 4%. What is the expected return of Yachi? If you want to diversify your investment risk, so you decide to invest 40% of your money in Yachi, and rest of your money in a government bond (risk-free). If you know the standard deviation of Yachi is 10% what is your portfolio standard deviation.
(Security market line) James Fromholtz is considering whether to invest in a newly formed investment fund. The fund's investment objective is to acquire home mortgage securities at what it hopes will be bargain prices. The fund sponsor has suggested to James that the fund's performance will hinge on how the national economy performs in the coming year. Specifically suggested the following possible outcomes: . James has estimated the expected rate of retum from this investment is 23.00 percent. James wants...
Assume that you can invest $1,000 in a savings account or a fund consisting of different stocks. If you invest in the savings account, you get 1% interest per year. The fund has annual return X with expected value E(X) = 6% and standard deviation o(X) = 20%. This means that, compared to the savings account, the fund has a higher return on average, but also comes with risk. When you invest y dollars in the fund, you will have...
3. You have a risky portfolio that yields an expected rate of return of 15% with a standard deviation of 25%. Draw the CAL for an expected return/standard deviation diagram if the risk free rate is 5%. a. What is the slope of the CAL? b. If your coefficient of risk aversion is 5, how much should you invest in the risky portfolio? 4. A pension fund manager is considering three mutual funds. The first is a stock fund, the...
3) Assume that you manage a risky portfolio with an expected rate of return of 14% and standard deviation of 19%. The risk-free rate rate on a Treasury-bill is 6%. a. Your client chooses to invest 60% of a portfolio in your fund and 40% in a risk-free T-bill money market fund. What is the expected return and standard deviation of your client's portfolio? b. Suppose another investor decides to invest in your risky portfolio a proportion (w) of his...
You have $200,000 of cash. The riskless interest rate is 3%. The market index fund has an expected return of 10% and a standard deviation of 20%. A and B below are unrelated. a. You decide to invest your $200,000 as follows: $60,000 invested in the riskless asset (riskless interest rate), and $140,000 in the market index portfolio. Calculate the expected return and standard deviation of this investment portfolio? b. You decide to borrow $100,000 at the riskless interest rate,...
An investor currently has all of his wealth in Treasury bills. He is considering investing one-third of his funds in General Electric, whose beta is 1.5, with the remainder left in Treasury bills. The expected risk-free rate (Treasury bills) is 4 percent and the market risk premium is 5.1 percent. Determine the beta and the expected return on the proposed portfolio. Round your answers to two decimal places. Portfolio's Beta: Portfolio's Expected Return: %
You have $234,267 to invest in a stock portfolio (this amount is your original wealth). Your choices are Stock H, with an expected return of 15.23 percent, and Stock L, with an expected return of 10.67 percent. Legal constraints require you to invest at least $42,668 in stock L. If your goal is to create a portfolio with an expected return of 20.5 percent on your original wealth, what is the minimum amount you must borrow (and subsequently repay) at...
You have $219,485 to invest in a stock portfolio (this amount is your original wealth). Your choices are Stock H, with an expected return of 14.21 percent, and Stock L, with an expected return of 8.55 percent. Legal constraints require you to invest at least $43.580 in stock L. If your goal is to create a portfolio with an expected return of 19.92 percent on your original wealth, what is the minimum amount you must borrow (and subsequently repay) at...